Atkin-Lehner |
2- 3- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82584i |
Isogeny class |
Conductor |
82584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-164837829168 = -1 · 24 · 38 · 31 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17490,-890507] |
[a1,a2,a3,a4,a6] |
j |
-50727753472000/14132187 |
j-invariant |
L |
0.83028051998524 |
L(r)(E,1)/r! |
Ω |
0.20757012580777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27528d1 |
Quadratic twists by: -3 |